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12144111124 = 2210161349037
BaseRepresentation
bin10110100111101100…
…00110111000010100
31011100100021202122111
423103312012320110
5144332343023444
65325014240404
7606641145535
oct132366067024
934310252574
1012144111124
115172041482
12242b056104
1311b6c81192
14832c1268c
154b123a234
hex2d3d86e14

12144111124 has 24 divisors (see below), whose sum is σ = 21498063048. Its totient is φ = 6002006400.

The previous prime is 12144111097. The next prime is 12144111173. The reversal of 12144111124 is 42111144121.

12144111124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4459835524 + 7684275600 = 66782^2 + 87660^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12144111095 and 12144111104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223134 + ... + 272170.

It is an arithmetic number, because the mean of its divisors is an integer number (895752627).

Almost surely, 212144111124 is an apocalyptic number.

It is an amenable number.

12144111124 is a deficient number, since it is larger than the sum of its proper divisors (9353951924).

12144111124 is a wasteful number, since it uses less digits than its factorization.

12144111124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49755 (or 49753 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Adding to 12144111124 its reverse (42111144121), we get a palindrome (54255255245).

The spelling of 12144111124 in words is "twelve billion, one hundred forty-four million, one hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 101 202 404 613 1226 2452 49037 61913 98074 123826 196148 247652 4952737 9905474 19810948 30059681 60119362 120238724 3036027781 6072055562 12144111124